Tough... and let's say it loud and clear:
Everywhere a transwoman goes they will be sharing a space with a man - because they are that man... whatever their feelings, they can not change science or biological reality...
If they genuinely hold an incorrect belief that they are a woman instead of a man (and we are talking a tiny % of 'trans people' who actually have gender dysphoria), then the answer is to have their mental health issues treated - and yes, we should be compassionate about that and treat those MH issues as we do others... but for all the rest who are playing games or who have more sinister reasons - it really is simple for those born men - go and pee in the gents, and those born women, there are ladies loos set aside for you...
I see no empathy issues with requiring men to pee with men and women with women - seems pretty logical really - and as a bloke, if a 'trans woman' were to come into the gents wearing fishnet tights, a mini skirt and crop top - up to them, I tend not to interact with others in the loos anyway...